Permutations and Combinations PYQs - Last 5 Years

AP EAPCET / Mathematics / Algebra / 80 recent questions

MathematicsAlgebra2021-2025

All Permutations and Combinations PYQs Last 10 Years Create chapter test

Practice 80 AP EAPCET Mathematics questions from Permutations and Combinations. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

80

PYQs on Page

Mathematics / Algebra

2021-2025

Year Range

Based on indexed question metadata

80

Last 5 Years

2021-2025

80

Last 10 Years

2016-2025

Recent Year Trend

2021

2022

2023

2024

2025

202128 max PYQs/year2025

Question Types

80PYQs

MCQ100%

Difficulty Mix

#1 Unknown80

80 in last 5 years80 in last 10 years

Last 5 Years Permutations and Combinations Questions

Showing 50 of 80 filtered questions.

1Permutations And Combinations

A string of letters is to be formed by using 4 letters from all the letters of the word "MATHEMATICS". The number of ways this can be done such that two letters are of same kind and the other two are of different kind is

2Permutations And Combinations

An eight digit number divisible by 9 is to be formed using digits from 0 to 9 without repeating the digits. The number of ways in which this can be done is

3Permutations And Combinations

The number of positive integers less than 10000 which contain the digit 5 atleast once is

4Permutations And Combinations

5 men and 4 women are seated in a row. If the number of arrangements in which one particular man and one particular woman are together is $\alpha$ and the number of arrangements in which those two are not together is $\beta$, then $\alpha$ ...

5Permutations And Combinations

If a team of 4 persons is to be selected out of 4 married couples to play mixed doubles- tennis game, then the number of ways of forming a team in which no married couple appears is

6Permutations And Combinations

The number of ways of dividing 15 persons into 3 groups containing 3,5 and 7 persons so that two particular persons are not included into the 5 persons groups is

7Permutations And Combinations

The number of integers greater than 6000 that can be formed by using the digits $0,5,6,7,8$ and 9 without repetition is

8Permutations And Combinations

The number of ways in which a cricket team of 11 members can be formed out of 6 batsmen, 6 bowlers, 4 all-rounders and 4 wicket keepers by selecting atleast 4 batsmen, atleast 3 bowlers, atleast 2 all-rounders and only one wicket keeper is

9Permutations And Combinations

The number of integers between 10 and 10,000 such that in every integer every digit is greater than its immediate preceeding digit, is

10Permutations And Combinations

All letters of the word 'AGAIN' are permuted in all possible ways and the words so formed (with or without meaning) are written as in a dictionary, then the 50th word is

11Permutations And Combinations

Three letters are chosen at random from the letters of the word VARIABLE and all possible three letter words (with or without meaning) are formed with them.
Then, the probability of getting a three letter word having a consonent as its midd...

12Permutations And Combinations

Out of 8 students in a classroom, 4 of them are chosen and they are arranged around a table.
If the remaining 4 are arranged in a row, then the total number of arrangements that can be made with those 8 students is

13Permutations And Combinations

If 3 sisters and 8 brothers are together playing a game, then the number of ways in which all the sisters and brothers are to be seated around a circle such that all the three sisters are not seated together is

14Permutations And Combinations

The number of ways in which a committee of 7 members can be formed from 6 teachers, 5 fathers and 4 students in such a way that at least one from each group is included and teachers form the majority among them, is

15Permutations And Combinations

The number of ways of forming the ordered pairs $(p, q)$ such that $p>q$ by choosing $p$ and $q$ from the first 50 natural numbers is

16Permutations And Combinations

If all possible 4 -digit numbers are formed by choosing 4 different digits from the given digits $1,2,3,5,8$ then the sum of all such 4 -digit numbers is

17Permutations And Combinations

5-digit numbers are formed by using the digits $0,1,2$, $3,5,7$ without repetetion and all of them are arranged in ascending order. Then, the rank of the number 70513 is

18Permutations And Combinations

All the letters of the word LETTER are arranged in all possible ways and the words (with or without meaning) thus formed are arranged in dictionary order.
Then, the rank of the word TETLER is

19Permutations And Combinations

The number of divisors of 7 ! is

20Permutations And Combinations

If four letters are chosen from the letters of the word ASSIGNMENT and are arranged in all possible ways to form 4 letter words (with or without meaning), then total number of such words that can be formed is

21Permutations And Combinations

If the number of diagonals of a regular polygon is 35 , then the number of sides of the polygon is

22Permutations And Combinations

If ${ }^{27} P_{r+7}=7722{ }^{25} P_{(r+4)}$, then $r=$

23Permutations And Combinations

If all the letters of the word COMBINATION are arranged in all possible ways to form 11 letter words (with or without meaning), then the number of words among them in which $C$ and $N$ occupy the end positions and no vowel appears exactly i...

24Permutations And Combinations

If $\binom{p}{q}={ }^p C_q$ and $\sum\limits_{i=0}^m\binom{10}{i}\binom{20}{m-i}$ is maximum, then $m=$

25Permutations And Combinations

The number of ways of distributing 3 dozen fruits (no two fruits are identical) to 9 persons such that each gets the same number of fruits is

26Permutations And Combinations

The number of all possible positive integrals solutions of the equation $x y z=30$ is

27Permutations And Combinations

The number of ways of arranging all the letters of the word PERFECTION such that there must be exactly two consonants between any two vowels is

28Permutations And Combinations

The number of all five letter words (with or without meaning) having atleast one repeated letter than can be formed by using the letters of the word INCONVENIENCE is

29Permutations And Combinations

Among the 4 -digit numbers formed using the digits $0,1,2,3$ and 4 when repetition of digits allowed. Then, the number of numbers which are divisible by 4 is

30Permutations And Combinations

The number of ways of arranging 2 red, 3 white and 5 yellow roses of different sizes into a garland such that no two yellow roses come together is

31Permutations And Combinations

The number of ways of distributing 15 apples to three persons $A, B, C$ such that $A$ and $C$ each get at least 2 apples and $B$ gets at most 5 apples, is

32Permutations And Combinations

5 boys and 6 girls are arranged in all possible ways. Let $X$ denote the number of linear arrangements in which no two boys sit together and $Y$ denote the number of linear arrangements in which no two girls sit together. If $Z$ denote the ...

33Permutations And Combinations

All the letters of the word 'TABLE' are permuted and the strings of letters (may or may not have meaning) thus formed are arranged in dictionary order. Then, the rank of the word 'TABLE' counted from the rank of the word 'BLATE' is

34Permutations And Combinations

The number of ways of arranging 9 men and 5 women around circular table, so that no two women come together are

35Permutations And Combinations

There were two women participating with some men in a chess tournament. Each participant played two games with the other. The number of games that the men played between themselves is 66 more than that of the men played with the women. Then...

36Permutations And Combinations

If there are 6 alike fruits, 7 alike vegetables and 8 alike biscuits, then the number of ways of selecting any number of things out of them such that at least one from each category is selected, is

37Permutations And Combinations

The number of 5 -digit odd numbers greater than 40000 that can be formed by using 3,4,5,6,7,0 so that at least one of its digit must be repeated is

38Permutations And Combinations

The number of ways in which 3 men and 3 women can be arranged in a row of 6 seats, such that the first and last seats must be filled by men is

39Permutations And Combinations

If a committee of 10 members is to be formed from 8 men and 6 women, then the number of different possible committees in which the men are in majority is

40Permutations And Combinations

Four-digit numbers with all digits distinct are formed using the digits $1,2,3,4,5,6,7$ in all possible ways.If $p$ is the total number of numbers thus formed and $q$ is the number of numbers greater than 3400 among them, then $p: q=$

41Permutations And Combinations

If a five-digit number divisible by 3 is to be formed using the numbers $0,1,2,3,4$ and 5 without repetition, then the total number of ways this can be done is

42Permutations And Combinations

There are 6 different novels and 3 different poetry books on a table. If 4 novels and 1 poetry book are to be selected and arranged in a row on a shelf such that the poetry book is always in the middle, then the number of such possible arr...

43Permutations And Combinations

If $a_n=\sum\limits_{r=0}^n \frac{1}{{ }^n C_r}$, then $\sum\limits_{r=0}^n \frac{r}{{ }^n C_r}=$

44Permutations And Combinations

If a polygon of $n$ sides has 275 diagonals, then $n$ is

45Permutations And Combinations

The number of positive divisors of 1080 is

46Permutations And Combinations

A test containing 3 objective type of questions is conducted in a class. Each question has 4 options and only one option is the correct answer. No two students of the class have answered identically and no student has written all correct an...

47Permutations And Combinations

The number of numbers lying between 1000 and 10000 such that every number contains the digit 3 and 7 only once without repetition is

48Permutations And Combinations

The number of ways in which 17 apples can be distributed among four guests such that each guest gets at least 3 apples is .

49Permutations And Combinations

If all the letters of the word MASTER are permuted in all possible ways and words (with or without meaning) thus formed are arranged in dictionary order, then the rank of the word MASTER is

50Permutations And Combinations

The number of different permutations that can be formed by taking 4 letters at a time from the letters of the word 'REPETITION' is